Mathematical theory of super fibre bundles
- 11 May 1984
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 1 (3) , 213-226
- https://doi.org/10.1088/0264-9381/1/3/001
Abstract
A mathematically consistent global theory of super fibre bundles is laid down. In this framework the authors perform, in a rigorous way, the analysis of the construction of super fibre bundles, connections, reduced bundles and reduced connections. Some bundles of physical interest, constructed over a supermanifold (the Lorentz bundle and the graded Poincare bundle), are analysed in detail. A criterion for the existence of a Lorentz bundle over a supermanifold is established. Some results about subgroups of super Lie groups are also given.Keywords
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